Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 379/868, 454/551, 545/178 quickly i.e. 93775970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 379/868, 454/551, 545/178 is 93775970.
LCM(379/868, 454/551, 545/178) = 93775970
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 379/868,454/551,545/178
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 379,454,545
Least Common Multiple of Numerators i.e. LCM of 379,454,545 is 93775970.
GCF of Denominators means GCF of 868,551,178 as per the given fractions.
GCF of 868,551,178 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 379,454,545
Given numbers has no common factors except 1. So, there LCM is their product i.e 93775970
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 379,454,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(379,454,545) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(379,454,545) x common factors =1 x 1 = 1
LCM(379,454,545) = ( 379 × 454 × 545 ) / 1
LCM(379,454,545) = 93775970 / 1
LCM(379,454,545) = 93775970
Lets's calculate GCF of 868,551,178
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93775970/1
Therefore the LCM of Fractions 379/868,454/551,545/178 is 93775970
Factors of 868
List of positive integer factors of 868 that divides 868 without a remainder.
1,2,4,7,14,28,31,62,124,217,434,868
Factors of 551
List of positive integer factors of 551 that divides 551 without a remainder.
1,19,29,551
Factors of 178
List of positive integer factors of 178 that divides 178 without a remainder.
1,2,89,178
Greatest Common Factor
We found the factors 868,551,178 . The biggest common factor number is the GCF number.
So the greatest common factor 868,551,178 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 379/868, 454/551, 545/178?
Answer: LCM of Numerators as per given numbers 379/868, 454/551, 545/178 is
LCM of Numerators i.e. for 379,454,545 is 93775970
GCF of denominators i.e. for 868,551,178 is 1.
Thus, LCM of Fractions is 93775970.Finally, LCM of Fractions for 379/868, 454/551, 545/178 is 93775970.